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constantin |
`timescale 1ns / 1ps
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//////////////////////////////////////////////////////////////////////////////////
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// Company:
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// Engineer:
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//
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// Create Date: 17:53:05 10/15/2013
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// Design Name:
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// Module Name: Multiply_AccumulateConversion
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// Project Name:
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// Target Devices:
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// Tool versions:
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// Description: C ± A*B with mapped conversions, conversion applies to C number
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//
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// Dependencies:
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//
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// Revision:
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// Revision 0.01 - File Created
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// Additional Comments:
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//
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//////////////////////////////////////////////////////////////////////////////////
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module Multiply_AccumulateConversion #( parameter size_mantissa = 24, //mantissa bits(1.M)
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parameter size_exponent = 8, //exponent bits
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parameter size_counter = 5, //log2(size_mantissa) + 1 = 5
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parameter size_exception_field = 2, // zero/normal numbers/infinity/NaN
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constantin |
parameter [size_exception_field - 1 : 0] zero = 00, //00
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parameter [size_exception_field - 1 : 0] normal_number = 01, //01
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parameter [size_exception_field - 1 : 0] infinity = 10, //10
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parameter [size_exception_field - 1 : 0] NaN = 11, //11
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constantin |
parameter size_integer = 32,
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parameter counter_integer = 6, //log2(size_integer) + 1 = 6)
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parameter [1 : 0] FP_operation = 0, //00
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parameter [1 : 0] FP_to_int = 1, //01
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parameter [1 : 0] int_to_FP = 2, //10
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parameter pipeline = 0,
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parameter pipeline_pos = 0, //8 bits
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parameter size = size_exponent + size_mantissa + size_exception_field)
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constantin |
( input [1 : 0] conversion,
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constantin |
input [size - 1:0] c_number_i,
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input [size - 1:0] a_number_i,
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input [size - 1:0] b_number_i,
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input sub,
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output[size - 1:0] resulting_number_o);
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parameter size_mul_mantissa = size_mantissa + size_mantissa;
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parameter size_mul_counter = size_counter + 1;
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parameter max_size = (size_integer > size_mantissa)? size_integer : size_mantissa;
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parameter max_counter = (counter_integer > size_counter)? counter_integer : size_counter;
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parameter size_diff_i_m = (size_integer > size_mantissa)? (size_integer - size_mantissa) : (size_mantissa - size_integer);
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parameter bias = {1'b0,{(size_exponent-1){1'b1}}};
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parameter exp_biased = bias + size_mantissa;
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parameter exponent = (size_mul_mantissa - max_size) + exp_biased;
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parameter subtr = max_size -2'd2;
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parameter bias_0_bits = size_exponent - 1;
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parameter shift_mantissa_0_bits = size_mantissa-1'b1;
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wire [size_exception_field - 1 : 0] sp_case_a_number, sp_case_b_number, sp_case_c_number;
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wire [size_mantissa - 1 : 0] m_a_number, m_b_number, m_c_number;
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wire [size_exponent - 1 : 0] e_a_number, e_b_number, e_c_number;
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wire s_a_number, s_b_number, s_c_number;
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wire [size_exponent : 0] ab_greater_exponent, c_greater_exponent;
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wire [size_exponent - 1 : 0] exp_difference;
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wire [size_exponent : 0] exp_inter;
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constantin |
wire [size_mantissa - 2 : 0] mul_mantissa;
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constantin |
wire [size_mul_mantissa - 1 : 0] m_ab_mantissa, c_mantissa;
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wire [size_exponent : 0] e_ab_number_inter, e_ab_number;
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wire [size_mul_counter - 1 : 0] lz_mul;
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wire zero_flag;
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constantin |
wire sign_res, sign_inter;
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constantin |
wire eff_op;
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constantin |
wire [size_mantissa - 1 : 0] initial_rounding_bits, inter_rounding_bits, final_rounding_bits, max_inter_rounding_bits;
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constantin |
wire [size_mul_mantissa + 1 : 0] normalized_mantissa, adder_mantissa;
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wire [size_mul_mantissa : 0] unnormalized_mantissa;
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wire [size_mul_mantissa - 1 : 0] shifted_m_ab, convert_neg_mantissa, mantissa_to_shift;
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wire [size_mul_mantissa - 1 : 0] m_c, m_ab;
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constantin |
wire [size_exception_field - 1 : 0] sp_case_mul_result_o;
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constantin |
wire [size_exception_field - 1 : 0] sp_case_o, sp_case_result_o;
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wire [size_mantissa - 2 : 0] final_mantissa;
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wire [size_exponent - 1 : 0] final_exponent;
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wire [size_mantissa : 0] rounded_mantissa;
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constantin |
wire [max_size - 1 : 0] entity_to_round;
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wire [size_mul_mantissa + 1 : 0] dummy_to_round, inter_dummy_to_round;
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wire [max_size - size_mantissa - 2 : 0] dummy_out;
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constantin |
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wire [size_mantissa - 1 : 0] resulted_mantissa;
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wire [size_exponent - 1 : 0] resulted_exponent;
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wire [size_exponent : 0] subtracter;
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wire [size_mul_mantissa-max_size : 0] max_entityINT_FP_msb;
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wire [size_exponent : 0] shift_value_when_positive_exponent, shift_value_when_negative_exponent;
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wire [size_exponent - 1 : 0] shift_value, shft_val;
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wire [size_exponent - 1 : 0] max_unadjusted_exponent, max_adjust_exponent, adjust;
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wire [size_exponent - 1 : 0] max_exp_selection;
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wire [size_exponent - 1 : 0] max_resulted_e_o;
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wire [max_size - 1 : 0] max_entityINT_FP, max_entityFP_INT;
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wire lsb_shft_bit;
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wire arith_shift;
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wire max_ovf;
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wire do_conversion;
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assign do_conversion = |conversion; //let me know if there is a conversion
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assign m_a_number = {1'b1, a_number_i[size_mantissa - 2 :0]};
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assign m_b_number = {1'b1, b_number_i[size_mantissa - 2 :0]};
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assign m_c_number = {1'b1, c_number_i[size_mantissa - 2 :0]};
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assign e_a_number = a_number_i[size_mantissa + size_exponent - 1 : size_mantissa - 1];
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assign e_b_number = b_number_i[size_mantissa + size_exponent - 1 : size_mantissa - 1];
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assign e_c_number = c_number_i[size_mantissa + size_exponent - 1 : size_mantissa - 1];
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assign s_a_number = a_number_i[size - size_exception_field - 1];
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assign s_b_number = b_number_i[size - size_exception_field - 1];
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assign s_c_number = c_number_i[size - size_exception_field - 1];
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assign sp_case_a_number = a_number_i[size - 1 : size - size_exception_field];
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assign sp_case_b_number = b_number_i[size - 1 : size - size_exception_field];
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assign sp_case_c_number = c_number_i[size - 1 : size - size_exception_field];
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//instantiate multiply component
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multiply #( .size_mantissa(size_mantissa),
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.size_counter(size_counter),
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.size_mul_mantissa(size_mul_mantissa))
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multiply_instance ( .a_mantissa_i(m_a_number),
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.b_mantissa_i(m_b_number),
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.mul_mantissa(m_ab_mantissa));
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constantin |
assign mul_mantissa = m_ab_mantissa[size_mul_mantissa-1]? m_ab_mantissa[size_mul_mantissa-2 : size_mul_mantissa - size_mantissa] :
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m_ab_mantissa[size_mul_mantissa-3 : size_mul_mantissa - size_mantissa - 1];
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constantin |
assign c_mantissa = {1'b0,m_c_number, {(shift_mantissa_0_bits){1'b0}}};
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assign e_ab_number_inter = e_a_number + e_b_number;
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assign e_ab_number = e_ab_number_inter - {(bias_0_bits){1'b1}};
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//find the greater exponent
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assign ab_greater_exponent = e_ab_number - e_c_number;
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assign c_greater_exponent = e_c_number - e_ab_number;
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//find the difference between exponents
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assign exp_difference = (ab_greater_exponent[size_exponent])? c_greater_exponent[size_exponent - 1 : 0] : ab_greater_exponent[size_exponent - 1 : 0];
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assign exp_inter = (c_greater_exponent[size_exponent])? {1'b0, e_ab_number} : {1'b0, e_c_number};
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//set shifter always on m_ab_number
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assign {m_c, m_ab} = (ab_greater_exponent[size_exponent])? {c_mantissa, m_ab_mantissa} :
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{m_ab_mantissa, c_mantissa};
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assign subtracter = e_c_number - bias;
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assign shift_value_when_positive_exponent = subtr - subtracter[size_exponent-1 : 0];
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assign shift_value_when_negative_exponent = max_size + (~subtracter[size_exponent-1 : 0]);
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assign shift_value = (subtracter[size_exponent])? shift_value_when_negative_exponent[size_exponent - 1 : 0] :
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(shift_value_when_positive_exponent[size_exponent])? (~shift_value_when_positive_exponent[size_exponent - 1 : 0]):
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shift_value_when_positive_exponent[size_exponent - 1 : 0];
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assign shft_val = do_conversion? shift_value : exp_difference;
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constantin |
assign convert_neg_mantissa = {{(size_mantissa){1'b1}}, 1'b0, ~c_number_i[size_mantissa-2 : 0]};
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assign mantissa_to_shift = conversion[0]? (s_c_number? {{size_mantissa{1'b1}}, convert_neg_mantissa + 1'b1} : {{size_mantissa{1'b0}}, 1'b1, c_number_i[size_mantissa-2 : 0]}) :
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m_ab;
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constantin |
assign arith_shift = conversion[0]? s_c_number : 1'b0;
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//shift m_ab_number
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shifter #( .INPUT_SIZE(size_mul_mantissa),
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.SHIFT_SIZE(size_exponent),
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.OUTPUT_SIZE(size_mul_mantissa + size_mantissa),
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.DIRECTION(1'b0), //0=right, 1=left
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.PIPELINE(pipeline),
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.POSITION(pipeline_pos))
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m_b_shifter_instance( .a(mantissa_to_shift),//mantissa
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.arith(arith_shift),//logical shift
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.shft(shft_val),
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.shifted_a({shifted_m_ab, initial_rounding_bits}));
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assign max_entityFP_INT = {s_c_number, shifted_m_ab[max_size - size_diff_i_m - 1 : 0], initial_rounding_bits[size_mantissa - 1 : size_mantissa - size_diff_i_m + 1]};
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//instantiate effective_op component
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effective_op effective_op_instance( .sign_a(s_a_number),
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.sign_b(s_b_number),
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.sign_c(s_c_number),
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.sub(sub),
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.eff_sub(eff_op));
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//instantiate accumulate component
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accumulate #(.size_mul_mantissa(size_mul_mantissa))
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accumulate_instance ( .m_a(m_c),
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.m_b(shifted_m_ab),
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.eff_op(eff_op),
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.adder_mantissa(adder_mantissa));
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//compute unnormalized_mantissa
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assign unnormalized_mantissa =
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(adder_mantissa[size_mul_mantissa + 1])? (~adder_mantissa[size_mul_mantissa : 0]) : adder_mantissa[size_mul_mantissa : 0];
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19 |
constantin |
assign inter_rounding_bits = conversion[0]? {initial_rounding_bits[size_mantissa - size_diff_i_m : 0], {(size_diff_i_m - 1){initial_rounding_bits[0]}}} :
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conversion[1]? {size_mantissa{1'b0}} :
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16 |
constantin |
((adder_mantissa[size_mul_mantissa + 1])? ~initial_rounding_bits : initial_rounding_bits);
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constantin |
assign max_entityINT_FP = do_conversion? (c_number_i[size_integer - 1]? (~c_number_i[max_size-1 : 0]) : c_number_i[max_size-1 : 0]) :
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constantin |
unnormalized_mantissa[max_size-1 : 0];
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assign max_entityINT_FP_msb = do_conversion? {(size_mul_mantissa-max_size+1){1'b0}} : unnormalized_mantissa[size_mul_mantissa : max_size];
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19 |
constantin |
assign lsb_shft_bit = do_conversion? conversion[0]? s_c_number : c_number_i[size_integer-1] : max_entityINT_FP[0];
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16 |
constantin |
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assign max_ovf = do_conversion? 1'b0 : unnormalized_mantissa[size_mul_mantissa];
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//instantiate leading_zeros component
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leading_zeros #(.SIZE_INT(size_mul_mantissa + 1'b1),
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.SIZE_COUNTER(size_mul_counter),
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.PIPELINE(pipeline))
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leading_zeros_instance( .a({max_entityINT_FP_msb, max_entityINT_FP}),
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.ovf(max_ovf),
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.lz(lz_mul));
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19 |
constantin |
assign max_inter_rounding_bits = conversion[1]? {size_mantissa{c_number_i[size_integer-1]}} : {inter_rounding_bits, inter_rounding_bits[0]};
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16 |
constantin |
//instantiate shifter component
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shifter #( .INPUT_SIZE(size_mul_mantissa + size_mantissa + 1),
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.SHIFT_SIZE(size_mul_counter),
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.OUTPUT_SIZE(size_mul_mantissa + size_mantissa + 2),
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.DIRECTION(1'b1),
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.PIPELINE(pipeline),
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.POSITION(pipeline_pos))
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19 |
constantin |
shifter_instance( .a( {max_entityINT_FP_msb, max_entityINT_FP, max_inter_rounding_bits}),
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16 |
constantin |
.arith(lsb_shft_bit),
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.shft(lz_mul),
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.shifted_a({normalized_mantissa, final_rounding_bits}));
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19 |
constantin |
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assign inter_dummy_to_round = {normalized_mantissa[size_mantissa + 1 : 0], final_rounding_bits};
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assign entity_to_round = conversion[0]? max_entityFP_INT : {{(max_size - size_mantissa){1'b0}}, normalized_mantissa[size_mul_mantissa+1 : size_mantissa + 2]};
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assign dummy_to_round = conversion[0]? {inter_rounding_bits, {(size_mantissa + 2){1'b0}}} :
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(conversion[1] & (&{normalized_mantissa[size_mantissa : 0], final_rounding_bits}) & (~normalized_mantissa[size_mantissa+1]))?
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(c_number_i[size_integer-1]? ~inter_dummy_to_round : inter_dummy_to_round) :
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{normalized_mantissa[size_mantissa + 1 : 0], final_rounding_bits};
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242 |
16 |
constantin |
//instantiate rounding_component
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19 |
constantin |
rounding #( .SIZE_MOST_S_MANTISSA(max_size),
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16 |
constantin |
.SIZE_LEAST_S_MANTISSA(size_mul_mantissa+2))
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19 |
constantin |
rounding_instance( .unrounded_mantissa(entity_to_round ),
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.dummy_bits(dummy_to_round),
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.rounded_mantissa({dummy_out, rounded_mantissa}));
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16 |
constantin |
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assign max_exp_selection = do_conversion? exponent : exp_inter;
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assign max_adjust_exponent = max_exp_selection - lz_mul;
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assign adjust = do_conversion? size_diff_i_m : 2'd2;
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assign max_unadjusted_exponent = max_adjust_exponent + adjust;
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assign max_resulted_e_o = (do_conversion & ~(|{max_entityINT_FP_msb, max_entityINT_FP}))? bias : max_unadjusted_exponent + rounded_mantissa[size_mantissa];
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assign resulted_exponent = conversion[0]? max_entityFP_INT[size_mantissa+size_exponent-2 : size_mantissa-1] : max_resulted_e_o;
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19 |
constantin |
assign resulted_mantissa = conversion[0]? rounded_mantissa/*max_entityFP_INT[size_mantissa-1 : 0]*/ :
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258 |
16 |
constantin |
(rounded_mantissa[size_mantissa])? (rounded_mantissa[size_mantissa : 1]) :
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(rounded_mantissa[size_mantissa-1 : 0]);
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//instantiate special_cases_mul_acc component
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special_cases_mul_acc #( .size_exception_field(size_exception_field),
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.zero(zero),
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264 |
|
|
.normal_number(normal_number),
|
265 |
|
|
.infinity(infinity),
|
266 |
|
|
.NaN(NaN))
|
267 |
|
|
special_cases_mul_acc_instance ( .sp_case_a_number(sp_case_a_number),
|
268 |
|
|
.sp_case_b_number(sp_case_b_number),
|
269 |
|
|
.sp_case_c_number(sp_case_c_number),
|
270 |
|
|
.sp_case_result_o(sp_case_o));
|
271 |
19 |
constantin |
|
272 |
|
|
special_cases_mul #( .size_exception_field(size_exception_field),
|
273 |
|
|
.zero(zero),
|
274 |
|
|
.normal_number(normal_number),
|
275 |
|
|
.infinity(infinity),
|
276 |
|
|
.NaN(NaN))
|
277 |
|
|
special_cases_mul_instance( .sp_case_a_number(sp_case_a_number),
|
278 |
|
|
.sp_case_b_number(sp_case_b_number),
|
279 |
|
|
.sp_case_result_o(sp_case_mul_result_o));
|
280 |
16 |
constantin |
|
281 |
19 |
constantin |
assign sp_case_result_o = conversion[0]? 2'd0 :
|
282 |
|
|
conversion[1]? normal_number : sp_case_o;
|
283 |
16 |
constantin |
|
284 |
|
|
//set zero_flag in case of equal numbers
|
285 |
19 |
constantin |
assign zero_flag = ~(|(rounded_mantissa));
|
286 |
16 |
constantin |
|
287 |
|
|
//compute resulted_sign
|
288 |
19 |
constantin |
sign_computation sign_computation_instance( .eff_op (eff_op),
|
289 |
|
|
.s_a_number (s_c_number),
|
290 |
|
|
.s_b_number (s_a_number ^ s_b_number),
|
291 |
|
|
.a_greater_exponent (c_greater_exponent[size_exponent]),
|
292 |
|
|
.b_greater_exponent (ab_greater_exponent[size_exponent]),
|
293 |
|
|
.adder_mantissa_ovf (adder_mantissa[size_mul_mantissa]),
|
294 |
|
|
.sign (sign_inter));
|
295 |
|
|
|
296 |
|
|
assign sign_res = conversion[0]? 1'b0 :
|
297 |
|
|
conversion[1]? c_number_i[size_integer-1] :
|
298 |
|
|
sign_inter;
|
299 |
|
|
//((eff_op)? (!c_greater_exponent[size_exponent]?
|
300 |
|
|
// (!ab_greater_exponent[size_exponent]? ~adder_mantissa[size_mul_mantissa+1] : s_c_number) : ~(s_b_number^s_a_number)) : s_c_number);
|
301 |
16 |
constantin |
|
302 |
|
|
assign final_mantissa = resulted_mantissa;
|
303 |
|
|
|
304 |
|
|
assign final_exponent = resulted_exponent;
|
305 |
19 |
constantin |
assign resulting_number_o = (zero_flag)? {size{1'b0}} :
|
306 |
|
|
((!(|sp_case_a_number) || !(|sp_case_b_number)) & (~do_conversion))? {c_number_i[size-1 : size-size_exception_field], s_c_number, c_number_i[size-1-size_exception_field-1 : 0]} :
|
307 |
|
|
((!(|sp_case_c_number)) & (~do_conversion) )?
|
308 |
|
|
(sub?
|
309 |
|
|
{sp_case_mul_result_o, ~(s_a_number^s_b_number), e_ab_number[size_exponent-1 : 0], mul_mantissa} :
|
310 |
|
|
{sp_case_mul_result_o, s_a_number^s_b_number, e_ab_number[size_exponent-1 : 0], mul_mantissa}) :
|
311 |
|
|
{sp_case_result_o, sign_res, final_exponent, final_mantissa};
|
312 |
16 |
constantin |
endmodule
|